Electronic structure of disordered graphene with Green's function approach

TL;DR

This paper explores the electronic structure of disordered graphene using Green's function techniques, focusing on local density of states near defects and employing the Haydock recursion method for analysis.

Contribution

It introduces a method to analyze disordered graphene surfaces with defects using Green's functions and the Haydock recursion, considering short-range interactions.

Findings

Characterization of local density of states near defects

Determination of minimal and maximal defect distances

Application of Haydock recursion to graphene surfaces

Abstract

The Green functions play a big role in the calculation of the local density of states of the carbon nanostructures. We investigate their nature for the variously oriented and disclinated graphene-like surface. Next, we investigate the case of a small perturbation generated by two heptagonal defects and from the character of the local density of states in the border sites of these defects we derive their minimal and maximal distance on the perturbed cylindrical surface. For this purpose, we transform the given surface into a chain using the Haydock recursion method. We will suppose only the nearest-neighbor interactions between the atom orbitals, in other words, the calculations suppose the short-range potential.